Search a number
-
+
126450168 = 233131983257
BaseRepresentation
bin1111000100101…
…11100111111000
322210221100000120
413202113213320
5224332401133
620314133240
73063544245
oct742274770
9283840016
10126450168
1165417979
1236421220
1320274ab0
1412b185cc
15b17bab3
hex78979f8

126450168 has 128 divisors (see below), whose sum is σ = 364089600. Its totient is φ = 36274176.

The previous prime is 126450167. The next prime is 126450169. The reversal of 126450168 is 861054621.

It is an interprime number because it is at equal distance from previous prime (126450167) and next prime (126450169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126450161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491896 + ... + 492152.

It is an arithmetic number, because the mean of its divisors is an integer number (2844450).

Almost surely, 2126450168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126450168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182044800).

126450168 is an abundant number, since it is smaller than the sum of its proper divisors (237639432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126450168 is a wasteful number, since it uses less digits than its factorization.

126450168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 126450168 is about 11245.0063583797. The cubic root of 126450168 is about 501.9261278684.

The spelling of 126450168 in words is "one hundred twenty-six million, four hundred fifty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 83 104 114 152 156 166 228 247 249 257 312 332 456 494 498 514 664 741 771 988 996 1028 1079 1482 1542 1577 1976 1992 2056 2158 2964 3084 3154 3237 3341 4316 4731 4883 5928 6168 6308 6474 6682 8632 9462 9766 10023 12616 12948 13364 14649 18924 19532 20046 20501 21331 25896 26728 29298 37848 39064 40092 41002 42662 58596 61503 63479 63993 80184 82004 85324 117192 123006 126958 127986 164008 170648 190437 246012 253916 255972 277303 380874 405289 492024 507832 511944 554606 761748 810578 831909 1109212 1215867 1523496 1621156 1663818 2218424 2431734 3242312 3327636 4863468 5268757 6655272 9726936 10537514 15806271 21075028 31612542 42150056 63225084 126450168